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Finding the Fourth Proportional to 85,128.32, 127,671.93 and 37,717.20

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Solution

The fourth proportional to 85,128.32, 127,671.93 and 37,717.20 is: 56,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,128.32 : 127,671.93 = 37,717.20 : x
  2. Step 2: Convert to fraction form
    85,128.32/127,671.93 = 37,717.20/x
  3. Step 3: Cross multiply
    85,128.32x = 127,671.93 × 37,717.20
  4. Step 4: Simplify right side
    85,128.32x = 4,815,427,718.20
  5. Step 5: Solve for x
    x = 4,815,427,718.20/85,128.32
  6. Step 6: Final answer
    x = 56,566.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.